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What is the Least Common Multiple of 1929 and 1947?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 1929 and 1947 is 1251921.

LCM(1929,1947) = 1251921

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Least Common Multiple of 1929 and 1947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1929 and 1947, than apply into the LCM equation.

GCF(1929,1947) = 3
LCM(1929,1947) = ( 1929 × 1947) / 3
LCM(1929,1947) = 3755763 / 3
LCM(1929,1947) = 1251921

Least Common Multiple (LCM) of 1929 and 1947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1929 and 1947. First we will calculate the prime factors of 1929 and 1947.

Prime Factorization of 1929

Prime factors of 1929 are 3, 643. Prime factorization of 1929 in exponential form is:

1929 = 31 × 6431

Prime Factorization of 1947

Prime factors of 1947 are 3, 11, 59. Prime factorization of 1947 in exponential form is:

1947 = 31 × 111 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 1929 and 1947.

LCM(1929,1947) = 31 × 6431 × 111 × 591
LCM(1929,1947) = 1251921